In \(3d\)  our proposal is \(U(k)^{\mathcal {N}=1}_{(N-k)/2, N/2}\)  with \(N+2\)  fundamentals, and global symmetry \(SU(N+1) \times U(1)\) . The structure of this proposal is qualitatively different from [1]},A direct generalization of the proposals in [1]} does not satisfy the required infrared dualities. Moreover, as we detail in Appendix , the vacua of the mass deformed theory would host a non-trivial TQFT, but since the \(4d\)  description is in terms of a Wess-Zumino model, there should be no non-trivial TQFT factors. since there is a monopole operator in the superpotential, breaking the topological \(U(1)\)  symmetry explicitly. Moreover, there are \(F+1\)  fundamental fields, instead of \(F\)  as for the cases of \(SU(N)\)  with \(F\le N\)  flavors. Encouraging evidence for our proposal with the monopole superpotential comes from \(\mathcal {N}=2\)  dualities [3]}, [4]}, which can be deformed to the \(\mathcal {N}=1\)  dualities that should be satisfied by the \(3d\)  theory living on the domain walls.
